Describe the Transformations:
f(x) = (x-2)²+5
Right 2, up 5
x² + 4x + 6
(x + 2)² + 2
(x - 1)² - 6
x² - 2x - 5
the graph of a quadratic function
parabola
Describe the Transformations:
f(x) = -2x²
Reflection, stretch of 2
x² - 8x + 11
(x - 4)² - 5
(x - 6)² + 10
x² - 12x + 46
a line about which a figure is symmetric
axis of symmetry
Describe the Transformations:
f(x) = 1/4(x+7)²
compress by a factor of 1/4, Left 7
x² + 2x + 4
(x + 1)² + 3
(x - 3)² - 4
x² - 6x +5
What are roots?
the solutions, zeros, and x-intercepts of a quadratic equation
What is the equation with these transformations?
Reflection, stretch of 3, Up 7
f(x) = -3x²+7
x² + 10x + 33
(x + 5)² + 8
(x + 2)² - 4
x² + 4x
The y (or k) coordinate of your vertex is also your....
maximum or minimum value
What is the equation in vertex form to this Transformation?
Reflection, shrink of ¼, Right 1, Up 3
f(x) = -¼(x-1)²+3
x² - 12x + 46
(x - 6)² + 10
2(x + 9)² + 8
2x² + 36x + 170
y=a(x-h)2+k, where (h,k) is the vertex of the parabola and x=h is its axis of symmetry
vertex form